parthpatel09 parthpatel09

03-01-2021
Mathematics

contestada

Find the value of x. Give reasons to justify your solution. b ∈ ac, d ∈ fa

Find the value of x Give reasons to justify your solution b ac d fa class=

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jimrgrant1 jimrgrant1

03-01-2021

Answer:

x = 27

Step-by-step explanation:

∠ ABD and ∠ BDE are alternate angles and are congruent, then

∠ BDE = 72°

∠ ADB + ∠ BDE + ∠ EDF = 180° ( sum of angles on a straight line ), that is

2x + 72 + 2x = 180

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

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